Conference on the Numerical Solution of Differential Equations: Held in Dundee/Scotland, June 23–27, 1969

Generalisation of an inclusion theorem of L.COLLATZ....Pages 1-6
On certain iterative methods for solving nonlinear difference equations....Pages 7-22
Instability when solving Volterra integral equations of the second kind by multistep methods....Pages 23-39
Numerical solution of boundary value problems in Chebyshev series — A method of computation and error estimation....Pages 40-86
The numerical stability in solution of differential equations....Pages 87-111
On the effects of scaling of the peaceman-rachford method....Pages 113-132
The effective order of Runge-Kutta methods....Pages 133-139
Error bounds for some single step methods....Pages 140-147
Approximation of nonlinear operators....Pages 148-153
On the numerical treatment of hyperbolic differential equations with constant coefficients, particularly the n-dimensional wave equation....Pages 154-159
Monotonic difference schemes for weakly coupled systems of parabolic differential equations....Pages 160-167
The numerical solution of evolutionary partial differential equations....Pages 168-171
A method for the numerical integration of non-linear ordinary differential equations with greatly different time constants....Pages 172-177
Numerical solution of two differential-difference equations of analytic theory of numbers....Pages 179-187
Global accuracy and A-stability of one- and two-step integration formulae for stiff ordinary differential equations....Pages 188-193
Optimal order multistep methods with an arbitrary number of nonsteppoints....Pages 194-199
Alternating direction methods for parabolic equations in two and three space dimensions with mixed derivatives....Pages 200-206
On the convergence rates of variational methods....Pages 207-213
An A-stable modification of the Adams-Bashforth methods....Pages 214-219
Stability, consistency and convergence of variable K-step methods for numerical integration of large systems of ordinary differential equations....Pages 221-227
Local-error estimates for variable-step Runge-Kutta methods....Pages 228-233
Time-dependent techniques for the solution of viscous, heat conducting, chemically reacting, radiating discontinuous flows....Pages 234-242
Attempts to optimize the structure of an ode program....Pages 243-248
Round-off error in the numerical solution of second order differential equations....Pages 249-254
Stability properties of the extrapolation method....Pages 255-260
Implicit methods for implicit differential equations....Pages 261-266
Solution of elliptic eigenvalue problems by calculating α "Separable" solutions of a dynamic problem....Pages 267-275